(x+5)/6=(x-10)/8

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Solution for (x+5)/6=(x-10)/8 equation: 



(x+5)/6=(x-10)/8

We move all terms to the left:

(x+5)/6-((x-10)/8)=0

We calculate fractions


x/()+(-((x-10)*6)/()=0



We calculate terms in parentheses: +(-((x-10)*6)/(), so:

-((x-10)*6)/(

We multiply all the terms by the denominator


-((x-10)*6)



We calculate terms in parentheses: -((x-10)*6), so:

(x-10)*6

We multiply parentheses

6x-60

Back to the equation:

-(6x-60)



We get rid of parentheses

-6x+60

Back to the equation:

+(-6x+60)



We get rid of parentheses

x/()-6x+60=0

We multiply all the terms by the denominator


x-6x*()+60*()=0

We add all the numbers together, and all the variables

x-6x*()=0

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